Hochreiter, S.: The Vanishing Gradient Problem During Learning Recurrent Neu- ral Nets and Problem Solutions. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6(02) (1998) 107-116S. H
Activation functions have a direct impact on the occurence of vanishing gradient problems in neural networks. Here are a couple of activation functions: Sigmoid & Tanh activation function ReLU activation function Leaky ReLU and Parametric ReLU activation function Exponential linear units Scaled exponential...
Strain gradient solutions of half-space and half-plane contact problems. Z Angew Math Phys 2013; 64: 1363-1386.Gao X.-L., Zhou S.S.: Strain gradient solutions of half-space and half-plane contact problems. Z. angew. Math. Phys. 64 , 1363–1386 (2013) MATH MathSciNet...
Gigli, G. Savaré, Gradient Flows in Metric Spaces and in the Spaces of Probability Measures. Lectures in Mathematics, ETH Zurich (Birkhäuser, Basel, 2005) MATH Google Scholar L. Ambrosio, M. Colombo, G. De Philippis, A. Figalli, Existence of Eulerian solutions to the semigeostrophic ...
Methods have been published in the literature to deal with these problems, at least to some extent [5, 46, 50]. It is possible either to calibrate the B1 inhomogeneities (both in the transmit coil and, where relevant, in the receive coil) as a function of position in the sample and to...
Section 1.3 of this chapter shows that a calculus approach can only solve small problems and multiple evaluations of the function to be optimized becomes impossible when the number of variables and possibly the required accuracy is increased. The methods described here, generally called gradient method...
First, we define the mixed problem with initial and boundary data in this context. Then, with the help of an identity of Lagrange type, we prove some uniqueness theorems with regards to the solution of this problem and two theorems with regards to the continuous dependence of solutions on ...
Train, validate, tune and deploy generative AI, foundation models and machine learning capabilities with IBM watsonx.ai, a next-generation enterprise studio for AI builders. Build AI applications in a fraction of the time with a fraction of the data....
A singularity-free generalisation of Newtonian gravity can be constructed (Lazar in Phys Rev D 102:096002, 2020) within the framework of gradient field theory. This procedure offers a straightforward regularisation of Newtonian gravity and remains equall
In this subsection, we will study gradient estimates and related problems for positive smooth solutions of the following nonlinear elliptic equation Δfu(x)+a(x)u(x)+bu(x)lnu(x)=0and its parabolic counterpart ut(x,t)=Δfu(x,t)+a(x,t)u(x,t)+bu(x,t)lnu(x,t),on (M,g,e−...